The apparent weight of the astronaut is 58.5 N.
Acceleration due to gravity
The acceleration due to gravity pulling on the astronaut at the given position is calculated by applying Newton's law of universal gravitation.
[tex]g = \frac{GM_{moon} }{R^2} \\\\g = \frac{6.67 \times 10^{-11} \times 7.35\times 10^{22}}{(2.5 \times 10^6)^2 } \\\\g = 0.78 \ m/s^2[/tex]
The apparent weight of the astronaut
The apparent weight of the astronaut is calculated as follows;
[tex]W = mg\\\\W = 75 \times 0.78\\\\W = 58.5 \ N[/tex]
Thus, the apparent weight of the astronaut is 58.5 N.
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